Verified Solution • 2025–26 Session moderate

QJEEM21Mae825: JEE Main 2021 Mathematics - Class 11 JEEM21Mae825 Solution: The number of real solutions of the equation, x 2

The number of real solutions of the equation, x2 −- |x| −- 12 = 0 is :

Multiple Choice Options

  • A 2
  • B 3
  • C 1
  • D 4

Step-by-Step Verified Solution

|x|2 −- |x| −- 12 = 0

⇒\Rightarrow (|x| + 3)(|x| −- 4) = 0

⇒\Rightarrow |x| = 4

⇒\Rightarrow x = ±\pm 4

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